Theory of atmospheric quantum channels based on the law of total probability

Vasylyev, D.; Vogel, W.; Семенов, А. А.

doi:10.1103/physreva.97.063852

Cited by 42 publications

(39 citation statements)

References 76 publications

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“…For long-distance channels, a discrepancy arises between the transmittance moments calculated via the elliptic-beam PDT and the corresponding moments (29) and (30) calculated from the first principles. For elimination of this discrepancy, a PDT model has been proposed based on the law of total probability [92]. This model is most suitable for the description of long-length quantum channels and in this section we extend it to the case of slant propagation paths.…”

Section: Probability Distribution Of Transmittancementioning

confidence: 99%

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Satellite-mediated quantum atmospheric links

2019

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The establishment of quantum communication links over a global scale is enabled by satellite nodes. We examine the influence of Earth's atmosphere on the performance of quantum optical communication channels with emphasis on the downlink scenario. We derive the geometrical path length between a moving low Earth orbit satellite and an optical ground station as a function of the ground observer's zenith angle, his geographical latitude, and the meridian inclination angle of the satellite. We show that the signal distortions due to regular atmospheric refraction, atmospheric absorption, and turbulence have a strong dependence on the zenith angle. The observed saturation of transmittance fluctuations for large zenith angles is explained. The probability distribution of the transmittance for slant propagation paths is derived, which enables us to perform the security analysis of decoy state protocols implemented via satellite-mediated links.

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Section: Probability Distribution Of Transmittancementioning

confidence: 99%

“…In the limit of weak beam wandering, the conditional moments can be written as (see Ref. [92] for details)…”

Section: Probability Distribution Of Transmittancementioning

confidence: 99%

Satellite-mediated quantum atmospheric links

2019

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“…Efficiency

decreases with the increase of deflection distance r , with approximate analytical solution [ 50 ] being

where

and R are shape and scale parameters respectively:

where

is n -th order Bessel function. The position of deflected beam center is assumed to be normally fluctuating around the aperture center [ 64 ] and described by random transverse vector

where beam-wandering variance is limited by tracking accuracy and beam stabilization

, and

. The analytical form of the probability distribution of atmospheric transmittance is the log-negative Weibull distribution [ 64 ]:

…”

Section: CV Qkd Over Satellite Channelsmentioning

confidence: 99%

Applicability of Squeezed- and Coherent-State Continuous-Variable Quantum Key Distribution over Satellite Links

Derkach

Usenko

2020

Entropy

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We address the applicability of quantum key distribution with continuous-variable coherent and squeezed states over long-distance satellite-based links, considering low Earth orbits and taking into account strong varying channel attenuation, atmospheric turbulence and finite data ensemble size effects. We obtain tight security bounds on the untrusted excess noise on the channel output, which suggest that substantial efforts aimed at setup stabilization and reduction of noise and loss are required, or the protocols can be realistically implemented over satellite links once either individual or passive collective attacks are assumed. Furthermore, splitting the satellite pass into discrete segments and extracting the key from each rather than from the overall single pass allows one to effectively improve robustness against the untrusted channel noise and establish a secure key under active collective attacks. We show that feasible amounts of optimized signal squeezing can substantially improve the applicability of the protocols allowing for lower system clock rates and aperture sizes and resulting in higher robustness against channel attenuation and noise compared to the coherent-state protocol.

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“…Fluctuating atmospheric channels can be modeled by such a beam splitter for which the transmission coefficient is a random variable [40]. The properties of the channel is then characterized by the probability distribution of the transmittance (PDT) [41,42,43,44].…”

Section: Modeling Atmospheric Lossesmentioning

confidence: 99%

Quantum teleportation through atmospheric channels

et al. 2019

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We study the Kimble-Braunstein continuous-variable quantum teleportation with the quantum channel physically realized in the turbulent atmosphere. In this context, we examine the applicability of different strategies preserving the Gaussian entanglement [Bohmann et al., Phys. Rev. A 94, 010302(R) (2016)] for improving the fidelity of the coherent-state teleportation. First, we demonstrate that increasing the squeezing parameter characterizing the entangled state is restricted by its optimal value, which we derive for realistic experimentally-verified examples. Further, we consider the technique of adaptive correlations of losses and show its performance for channels with large squeezing parameters. Finally, we investigate the efficiencies of postselection strategies in dependence on the stochastic properties of the channel transmittance.

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Theory of atmospheric quantum channels based on the law of total probability

Cited by 42 publications

References 76 publications

Satellite-mediated quantum atmospheric links

Satellite-mediated quantum atmospheric links

Applicability of Squeezed- and Coherent-State Continuous-Variable Quantum Key Distribution over Satellite Links

Quantum teleportation through atmospheric channels

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